Perimeter and Area

About this chapter

Perimeter and Area is Chapter 6 of Class 6 Ganita Prakash. The chapter sharpens two ideas a Class 6 child first met in the primary grades. Perimeter is the total distance covered along the boundary of any closed plane figure — for a polygon, the sum of the lengths of all its sides. The chapter derives the locked formulas: perimeter of a rectangle = 2 × (length + breadth), perimeter of a square = 4 × side, perimeter of an equilateral triangle = 3 × side, and in general perimeter of a regular polygon = number of sides × length of a side. Area is the measure of the region enclosed by a closed figure, measured in square units — area of a rectangle = length × width, area of a square = side × side. Area on grid paper uses the half-square rule, and the area of a triangle obtained by halving a rectangle is half the rectangle's area. The chapter highlights that two figures can share the same area but have different perimeters, and the same perimeter with different areas. CTET Paper 2 Mathematics tests these formulas, fencing and tiling word problems, area on a grid, splitting composite figures, and the common confusion between perimeter and area.